Mathematica Returning Conditional Expression

[davidallen353]

I am attempting to do a simple volume integral over a particular shape. However Mathematica will not simply return an answer. For my input

Volume = Integrate[
   Integrate[Integrate[1, {z, 0, c}], {y, 0, b}], {x, 0, a}] + 
  Integrate[
   Integrate[Integrate[1, {z, c, c + a}], {y, b/2, b - \[Rho]}], {x, 
    0, a}] + 
  Integrate[
   Integrate[
    Integrate[
     1, {z, c, a + c - Sqrt[-b^2 + 2 b*y - y^2 + \[Rho]^2]}], {y, 
     b - \[Rho], b}], {x, 0, a}]

It returns

ConditionalExpression[
 a b c + a^2 (b/2 - \[Rho]) + 
  a (a \[Rho] - 
     1/4 \[Pi] \[Rho] Sqrt[\[Rho]^2]), ((Im[\[Rho]] >= 0 && 
      Im[b] Re[\[Rho]] <= Im[\[Rho]] Re[b]) || (Im[b] Re[\[Rho]] >= 
       Im[\[Rho]] Re[b] && Im[\[Rho]] <= 0)) && 
  Re[\[Rho] Im[b] - b Im[\[Rho]]]^2/Re[\[Rho]]^2 <= 1]

The answer it actually returns is correct, so my question is how do I tell Mathematica that I am only concerned with Real numbers. I am using Mathematica 8

 

[Dale]

Assumptions is an option you can supply to Integrate